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Feb 22 – 25, 2021
Perimeter Institute
America/Toronto timezone

Division algebraic symmetry breaking

Feb 22, 2021, 10:00 AM
Perimeter Institute

Perimeter Institute


Nichol Furey (Humboldt University of Berlin)


Can the 32C-dimensional algebra RCHO offer anything new for particle physics? Indeed it can. Here we identify a sequence of complex structures within RCHO which sets in motion a cascade of breaking symmetries: Spin(10) -> Pati-Salam -> Left-Right symmetric -> Standard model + B-L (both pre- and post-Higgs-mechanism). These complex structures derive from the octonions, then from the quaternions, then from the complex numbers. It should be noted that this pattern would not have been obvious within the standard formalism.

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